Let f(x) = x* (x – 4)° (x² + 4). Solve the inequality f(x) < 0 which can also be written as æ*(x – 4)° (2² + 4) < 0

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Show that f(x)=x5-x3-1 has a zero between 1 and 2.

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Q: f(x)%3DX²-2x+5

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Q: Horizontal asymetote6) Domainoin Interual notalion!

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

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Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: Given f(x)= x^3 − 6x^2+9x, find the multiplicity of the zero at x = 3

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Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

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Q: Prove that x -2x+2>0 for value of x.

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Q: Let ​f(x)=−4x+6. find f(-x)

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Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: where is the function (5+x) / (x(x-2)) discontinuous?

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Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

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Q: [f^(x) = 1/² + If and f-¹ (5) = 6, find k.

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Q: ƒ (*¹-8x+√¹) dx

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